Description Usage Arguments Value Author(s) References See Also Examples

A collection and description of functions to
simulate different types of chaotic time series
maps.

Chaotic Time Series Maps:

`tentSim` | Simulates data from the Tent Map, |

`henonSim` | simulates data from the Henon Map, |

`ikedaSim` | simulates data from the Ikeda Map, |

`logisticSim` | simulates data from the Logistic Map, |

`lorentzSim` | simulates data from the Lorentz Map, |

`roesslerSim` | simulates data from the Roessler Map. |

1 2 3 4 5 6 7 8 9 10 11 12 | ```
tentSim(n = 1000, n.skip = 100, parms = c(a = 2), start = runif(1),
doplot = FALSE)
henonSim(n = 1000, n.skip = 100, parms = c(a = 1.4, b = 0.3),
start = runif(2), doplot = FALSE)
ikedaSim(n = 1000, n.skip = 100, parms = c(a = 0.4, b = 6.0, c = 0.9),
start = runif(2), doplot = FALSE)
logisticSim(n = 1000, n.skip = 100, parms = c(r = 4), start = runif(1),
doplot = FALSE)
lorentzSim(times = seq(0, 40, by = 0.01), parms = c(sigma = 16, r = 45.92,
b = 4), start = c(-14, -13, 47), doplot = TRUE, ...)
roesslerSim(times = seq(0, 100, by = 0.01), parms = c(a = 0.2, b = 0.2, c = 8.0),
start = c(-1.894, -9.920, 0.0250), doplot = TRUE, ...)
``` |

`doplot` |
a logical flag. Should a plot be displayed? |

`n, n.skip` |
[henonSim][ikedaSim][logisticSim] - |

`parms` |
the named parameter vector characterizing the chaotic map. |

`start` |
the vector of start values to initiate the chaotic map. |

`times` |
[lorentzSim][roesslerSim] - |

`...` |
arguments to be passed. |

[*Sim] -

All functions return invisible a vector of time series data.

Diethelm Wuertz for the Rmetrics **R**-port.

Brock, W.A., Dechert W.D., Sheinkman J.A. (1987);
*A Test of Independence Based on the Correlation
Dimension*,
SSRI no. 8702, Department of Economics, University of
Wisconsin, Madison.

Eckmann J.P., Oliffson Kamphorst S., Ruelle D. (1987),
*Recurrence plots of dynamical systems*,
Europhys. Letters 4, 973.

Hegger R., Kantz H., Schreiber T. (1999);
*Practical implementation of nonlinear time series
methods: The TISEAN package*,
CHAOS 9, 413–435.

Kennel M.B., Brown R., Abarbanel H.D.I. (1992);
*Determining embedding dimension for phase-space
reconstruction using a geometrical construction*,
Phys. Rev. A45, 3403.

Rosenstein M.T., Collins J.J., De Luca C.J. (1993);
*A practical method for calculating largest Lyapunov
exponents from small data sets*,
Physica D 65, 117.

1 2 3 4 | ```
## logisticSim -
set.seed(4711)
x = logisticSim(n = 100)
plot(x, main = "Logistic Map")
``` |

```
Loading required package: timeDate
Loading required package: timeSeries
Loading required package: fBasics
Rmetrics Package fBasics
Analysing Markets and calculating Basic Statistics
Copyright (C) 2005-2014 Rmetrics Association Zurich
Educational Software for Financial Engineering and Computational Science
Rmetrics is free software and comes with ABSOLUTELY NO WARRANTY.
https://www.rmetrics.org --- Mail to: info@rmetrics.org
Loading required package: fGarch
```

fNonlinear documentation built on Nov. 17, 2017, 7:40 a.m.

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